How do I solve
[tex]2x^{2}+5x+2=0[/tex]
Answers
see the attachment...
hope it helps...!!!
![How Do I Solve[tex]2x^{2}+5x+2=0[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/07O6SXl5PhMMTjoL3Ihc8CPKuiNr9mSl.jpeg)
Answer:
There are two solutions.
[tex]x_1 = -0.5\\x_2 = -2[/tex]
Step-by-step explanation:
Step 1
Use the formula of ax^2 + bx + c = 0 to find the coefficients.
[tex]a = 2\\b = 5\\c = 2[/tex]
Step 2
[tex]x=\frac{ (-b+/-sqrt(b^2-4ac))}{(2a)}\\x=\frac{ (-5 +/- sqrt(5^2-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-8*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(9))}{(2*2)}[/tex]
[tex]x = \frac{-5 +/- \sqrt{9} }{4}[/tex]
Step 3
[tex]9 = 3^2\\\sqrt{9} = \sqrt{3*3}\\\sqrt{3*3} = \sqrt{3^2}\\\sqrt{3^2} = 3[/tex]
Step 4
[tex]x_1=\frac{(-5+3)}{4} -- > x_2=\frac{(-5-3)}{4}\\x_1=\frac{(-5+3)}{4}\\x_1=\frac{-2}{4}\\x_1=-0,5[/tex]
[tex]x_2=\frac{(-5-3)}{4}\\x_2=\frac{(-8)}{4}[/tex]
[tex]x_2=-2[/tex]
Hope this helps.
Related Questions
1. Suppose that the time required to drive across town is uniformly distributed between 12 and 20 minutes. What is the simulated (average)
time to cross town using the following random numbers: 0.21 0.53 0.05 0.89 015 0.73 0.06 0.28 0.81 0.74 (rounded to 2 decimal place)
Answers
Using the mean concept, it is found that the simulated average time to cross town is of 0.445.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, the 10 values of the simulation are given by:
0.21 0.53 0.05 0.89 0.15 0.73 0.06 0.28 0.81 0.74
Hence, the mean is given by:
M = (0.21 + 0.53 + 0.05 + 0.89 + 0.15 + 0.73 + 0.06 + 0.28 + 0.81 + 0.74)/10 = 0.445.
More can be learned about the mean concept at https://brainly.com/question/24628525
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According to the fundamental theorem of algebra, which polynomial function has exactly 6 roots? f (x) = 5 x superscript 4 baseline 10 x squared 2 f (x) = 5 x superscript 5 baseline 3 x superscript 4 baseline 12 x cubed 7 x squared minus 2 x 15 f (x) = 6 x superscript 5 baseline x cubed minus 4 x squared x minus 5 f (x) = 7 x superscript 6 baseline 3 x cubed 12
Answers
The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
According to the fundamental theorem of algebra.
The polynomial function has only exactly 6 roots.
The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.
If the degree of the variable is n then the number of the roots will be n or less than n.
If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.
Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Please Help with this...
Answers
Answer: 3
Step-by-step explanation:
On a scale drawing, 9 inches
represents 11 miles. How many
inches represent 55 miles?
Answers
Answer: you will get 45
Step-by-step explanation:
If you do 9x5=45 and 11x5=55
So the answer would be 45
helppppppppppppppppppppp
Answers
Answer:
10 duh
Step-by-step explanation:
WILL GIVE BRAINLIEST 25 POINTS
Congruent?
If so, what property?
Answers
Answer:
Yes, by ASA congruence.
Step-by-step explanation:
Solving :
∠DAB = ∠BCD (indicated in diagram)∠ADB = ∠DBC (indicated in diagram)BD = BD (common side)ΔABD ≅ ΔCDBHence, as 2 angles and a side of the triangles are equal, we can say they are congruent by ASA congruence.
[tex]\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's check if the two triangles are } [/tex][tex] \textbf{congruent} [/tex] ~
[tex] \large\textsf{Given information } [/tex]:
[tex] \textsf{Two angles of a triangle is equal to corresponding} [/tex] [tex] \textsf{two angles of another triangle, and they} [/tex][tex] \textsf{have one side in common (should be equal} [/tex][tex] \textsf{for both) } [/tex]
[tex] \textsf{So, after analyzing this information, we can } [/tex][tex] \textsf{conclude that the two triangles are congruent by} [/tex][tex] \textsf{AAS congruency criteria.} [/tex]
[tex] \texttt{[ since two angles are equal and one} [/tex][tex] \texttt{non included side is common/equal ]} [/tex]
what two numbers have a sum of 4 and product of 24
Answers
Answer:
There isnt a whole number to awser this
Step-by-step explanation:
Avani misses 5% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 4?
Answers
Answer:
She had a total of 80 throws.
Step-by-step explanation:
4x20 (20x5%=100%) = 80, so she had 80 throws.
Choosing a Nonexample
Quick
Check
Which solid is not a pyramid?
ΑΔΑ
A
Answers
a=2,b=1 and c=4.What is 3ac-a+2b
Answers
Step-by-step explanation:
a = 2
b = 1
c = 4
Question:[tex]3ac - a + 2b[/tex]
= Solution ,
= 3 × 2 × 4 - 2 + 2 × 1
= 24 - 2 + 2
= 24 + 2 - 2
= 26 - 2
= 24
hence the answer is 24....
What is the solution to the equation below?
Answers
Answer:
X=4
Step-by-step explanation:
The solution is in the file
Explanation: Determine the defined range. Write the number in exponential form with the base of 2. Use log a y (a^x) = x/y to simplify the expression.
Add fractions. Divide by both sides by 3. Convert the logarithm into exponential form.
hi! how do i do this? the answer is 2k
Answers
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex] log_{4}x = k \\ \\ \longrightarrow \: log_{4}x = log_{2 {}^{2} }x \\ \\ \longrightarrow \: 2 log_{2}x \\ \\ now , \\ \\ log_{2}x = k \\ \\ \therefore \: 2( log_{2}x) = 2(k) \\ \\ \longrightarrow \: 2k[/tex]
hope helpful ~
a number minus 4 is less than thirteen
Answers
NEED THIS TOO GRADUATE PLS HELP
5x - 3y = 16
4x - 2y = 14
The system when solved is
(-3, -13)
(-5, 17)
(5, -3)
(5, 3)
Answers
how: because there arnt like terms in the two equations you find which number you can military to the equations to make one of the numbers the same. in this case i multiplied the top equation by -2y from the bottom equation (5x-3y=16)^-2 then multiplied the bottom equation by 3y (4x-2y=14)^-3 both equations multiplied are (-10x+6y=-32) and (-12x+6y=-42) now that we have two of the same terms (6y) they are the same signs (both positive) so we switch the sign on the bottom equation. (12x-6y=42) and because there the same we subtract the equations. (-10x+6y=-32) - (12x-6y=42)= 2x=10. the y cancels out. and now we divide 2 by 2x and that leaves x then we divide 2 by 10 =5 so your x=5 to find y we take any ORIGINAL equation im using (4x-2y=14) we use our x and replace 4x to 4(5)=20x making our new equation (20x-2y=14) we subtract -20 to 20 . cancels out 20 and leaves us with 2y=14 then subtract 20 it to 14. which gives us -6 (-2y=-6)
divide -2y by -2 which gives us y alone. then divide -2 by 6 gives -3. (y=-3) making (5,-3) your answer.
How do I solve this with a fraction?
Answers
Answer:
75°
Step-by-step explanation:
x° and (x/5)° are complementary angles.-> x° + (x/5)° = 90°-> (6x/5)° = 90°-> x° = 90° * 5/6-> x° = 75°Answer:
x = 90
Step-by-step explanation:
[tex]m\angle 1+m\angle 2=90[/tex]
[tex]\Longleftrightarrow x+\frac{x}{5} =90[/tex]
[tex]\Longleftrightarrow \frac{6x}{5} =90[/tex]
[tex]\Longleftrightarrow x=\frac{5\times 90}{6} =\frac{450}{6} = 75[/tex]
In a cafe, there are 5 women, 4 men, and 2 employees. Write the following reports:
a) between women and men
b) between men and employees
c) between customers and employees
d) between women and the total number of people in the cafe
e) between men, employees and women
Answers
A pound of grapes costs $2.49. Lucas bought two pounds of grapes. He gave the clerk a $10.00 bill. How much change did Lucas get?
Answers
Answer:
$5.02
Step-by-step explanation:
$2.49 × 2 = $4.98
$10 - $4.98 = $5.02
Which is an example of an isosceles right triangle?
Answers
Answer:
D.
Step-by-step explanation:
An isosceles triangle is a triangle with 2 equal sides (2 sides with the same length)
the volume of a cone is 2307.9 mm^3. The height is 5 mm. What is the radius?
Answers
Answer:
21 mm
Step-by-step explanation:
Given,
Volume of cone ( V ) = 2307.9 mm³
Height ( h ) = 5 mm
To find : Radius ( r )
Formula : -
Volume of cone = πh/3 r²
Note : -
The value of π is 3.14
Volume of cone = πh/3 r²
2307.9 mm³ = 3.14 x 5/3 x r²
2307.9 = 5.23 x r²
Divide 5.23 on both sides,
r² = 2307.9 / 5.23
r² = 441
r² = 21 x 21
r² = 21²
r = 21 mm
A rectangle has a width that measures 11 in. and a length that measures 5.5 in.
Determine the area of the rectangle.
Answers
A = (11)(5.5)
A = 60.5
The area of the rectangle is 60.5 inches squared.
Answer: 60.5 in
Step-by-step explanation:
Area of rectangle = length times width
Length = 5.5 in
Width = 11 in
11 x 5.5 = 60.5
The area of the rectangle is 60.5 in
14. Which is a true statement if Line XY is tangent to Circle P?
a. ab=bc
b. a^2 = bc
c. a = bc
d. a^2 = 5(b + c)
Answers
Answer:
d. [tex]a^2 =b(b+c)[/tex]
Step-by-step explanation:
Option d is the correct answer.
what is the slope of the line that passes through the point (9,4) and (3,9)?
Answers
Step-by-step explanation:
m is for slope of the line that passes through
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]m = \frac{9 - 4}{3 - 9} [/tex]
[tex]m = \frac{5}{ - 6} = - \frac{5}{6} [/tex]
What's the distance between (0,2) and (0,8)?
Answers
Answer:
6 units
Step-by-step explanation:
The distance between two points can be calculated with the formula
[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.
Distance between (0, 2) and (0, 8)
= 8 -2
= 6 units
3x+4=25 what does x stand for
Answers
Answer:
X=7
Step-by-step explanation:
3x+4=25 (Subtract 4 on both sides)
3x=21 (Divide by 3 on both sides)
x=7
Answer: x is a variable and the number the variable is standing for is 7
Step-by-step explanation:
3x7=21 .. 21+4=25
Mary has 6 blouses, 5 skirts and 4 belts. How many outfits can she make, consisting of a blouse, a skirt and a belt?
Answers
Answer:
120
Step-by-step explanation:
Use the counting principle.
6 × 5 × 4 = 120
Answer: 120
Please help I will give you so much points
Answers
Answer:
∠[tex]DEC[/tex]
Step-by-step explanation:
vertical angles are opposite angles that are made by 2 intersecting lines
is -0.25 rattional or irrational
Answers
3. x² +(y + 2)2 = 64
Center:
Radius:
Answers
Answer:
Center: (0, -2)
radius: 8
Explanation:
Given equation: x² + (y + 2)² = 64
The Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) are points of center. r denotes radius
So rewrite the equation in circle formula:
x² +(y + 2)² = 64
(x- 0)² +(y + 2)² = 8²
Identify followings:
h = 0, k = -2, radius = 8
The difference between a number and seven is less than or equal to -3. Find the possible numbers. n ≤ 4 n ≥ 4 n ≤ -10 n ≥ -10
Answers
Answer:
n ≤ 4
Step-by-step explanation:
"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3
n-7 ≤ -3
Add 7 to both sides
n ≤ 4
Answer is n ≤ 4
See picture attached for the math
5 points
11 cm
I literally dont know what to do
